Base | Representation |
---|---|
bin | 1010101001101011101010… |
… | …01010000010010011100000 |
3 | 10001221011100212200110120112 |
4 | 11110311311022002103200 |
5 | 11032223110042331430 |
6 | 121452040124030452 |
7 | 4635133313005445 |
oct | 524656512022340 |
9 | 101834325613515 |
10 | 23422422230240 |
11 | 7510436800600 |
12 | 2763509992428 |
13 | 100b9568c9b17 |
14 | 5ad9191a79cc |
15 | 2a940e707195 |
hex | 154d752824e0 |
23422422230240 has 144 divisors (see below), whose sum is σ = 60829328748384. Its totient is φ = 8516398556160.
The previous prime is 23422422230219. The next prime is 23422422230243. The reversal of 23422422230240 is 4203222422432.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 23422422230197 and 23422422230206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23422422230243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214705949 + ... + 214815011.
It is an arithmetic number, because the mean of its divisors is an integer number (422425894086).
Almost surely, 223422422230240 is an apocalyptic number.
23422422230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23422422230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30414664374192).
23422422230240 is an abundant number, since it is smaller than the sum of its proper divisors (37406906518144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23422422230240 is a wasteful number, since it uses less digits than its factorization.
23422422230240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120193 (or 120174 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 32.
Adding to 23422422230240 its reverse (4203222422432), we get a palindrome (27625644652672).
The spelling of 23422422230240 in words is "twenty-three trillion, four hundred twenty-two billion, four hundred twenty-two million, two hundred thirty thousand, two hundred forty".
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